Lack of monotonicity in spin glass correlation functions

We study the response of a spin glass system with respect to the rescaling of its interaction random variables and investigate numerically the behaviour of the correlation functions with respect to the volume. While for a ferromagnet the local energy correlation functions increase monotonically with the scale and, by consequence, with respect to the volume of the system we find that in a general spin glass model those monotonicities are violated.Comment: 9 pages, 2 figure

Finding Minima in Complex Landscapes: Annealed, Greedy and Reluctant Algorithms

We consider optimization problems for complex systems in which the cost function has a multivalleyed landscape. We introduce a new class of dynamical algorithms which, using a suitable annealing procedure coupled with a balanced greedy-reluctant strategy drive the systems towards the deepest minimum of the cost function. Results are presented for the Sherrington-Kirkpatrick model of spin-glasses.Comment: 30 pages, 12 figure

Overlap Equivalence in the Edwards-Anderson Model

We study the relative fluctuations of the link overlap and the square standard overlap in the three dimensional Gaussian Edwards-Anderson model with zero external field. We first analyze the correlation coefficient and find that the two quantities are uncorrelated above the critical temperature. Below the critical temperature we find that the link overlap has vanishing fluctuations for fixed values of the square standard overlap and large volumes. Our data show that the conditional variance scales to zero in the thermodynamic limit. This implies that, if one of the two random variables tends to a trivial one (i.e. delta-like distributed), then also the other does and, by consequence, the TNT picture should be dismissed. We identify the functional relation among the two variables using the method of the least squares which turns out to be a monotonically increasing function. Our results show that the two overlaps are completely equivalent in the description of the low temperature phase of the Edwards-Anderson model.Comment: Latex file, 8 Pages, 4 Figures. To appear in: Physical Review Letter

Evitar la exclusión en adultos: La educación musical para adultos en un contexto adecuado. Una estrategia de inclusión educativa

Este trabajo se dirige a la educación musical de adultos y su carencia respecto a un programa específico para ellos en el que se tenga en cuenta sus características, necesidades e interés, entendiendo que el perfil de este alumnado ha cambiado con los años. La música, como una estrategia de inclusión puede ser una herramienta para aprender la lengua, costumbres y tradiciones, compartirlas y participar pasiva o activamente de las mismas sin necesidad de aceptarlas como propias pero si como parte de las sociedad en la que se integra

Interface Energy in the Edwards-Anderson model

We numerically investigate the spin glass energy interface problem in three dimensions. We analyze the energy cost of changing the overlap from -1 to +1 at one boundary of two coupled systems (in the other boundary the overlap is kept fixed to +1). We implement a parallel tempering algorithm that simulate finite temperature systems and work with both cubic lattices and parallelepiped with fixed aspect ratio. We find results consistent with a lower critical dimension $D_c=2.5$. The results show a good agreement with the mean field theory predictions.Comment: 5 pages; 7 figures; corrected typos; to appear in JS

A stochastic approach for quantifying immigrant integration: the Spanish test case

We apply stochastic process theory to the analysis of immigrant integration. Using a unique and detailed data set from Spain, we study the relationship between local immigrant density and two social and two economic immigration quantifiers for the period 1999-2010. As opposed to the classic time-series approach, by letting immigrant density play the role of "time", and the quantifier the role of "space" it become possible to analyze the behavior of the quantifiers by means of continuous time random walks. Two classes of results are obtained. First we show that social integration quantifiers evolve following pure diffusion law, while the evolution of economic quantifiers exhibit ballistic dynamics. Second we make predictions of best and worst case scenarios taking into account large local fluctuations. Our stochastic process approach to integration lends itself to interesting forecasting scenarios which, in the hands of policy makers, have the potential to improve political responses to integration problems. For instance, estimating the standard first-passage time and maximum-span walk reveals local differences in integration performance for different immigration scenarios. Thus, by recognizing the importance of local fluctuations around national means, this research constitutes an important tool to assess the impact of immigration phenomena on municipal budgets and to set up solid multi-ethnic plans at the municipal level as immigration pressure build

The Burden of Proving Competence to Stand Trial: Due Process at the Limits of Adversarial Justice

A defendant\u27s mental competence to stand trial is a fundamental prerequisite to participation in our adversarial system of criminal justice, but proving that this requirement is satisfied presents unique challenges. While an incompetent defendant\u27s inability to comprehend the nature of the proceedings or to assist his attorney challenges the very validity of the adversarial system, most jurisdictions rely on that same adversarial system to resolve questions of competence. These questions about the competence of the defendant and the legitimate scope of the adversarial system all arise in the context of the competency hearing procedure. The burden of proof in competency hearings has emerged as a salient issue, deeply dividing courts on the constitutional, moral, and policy implications. State supreme courts and the federal circuit courts of appeals have split on whether the due process clause permits states to place the burden of proof in competency hearings on the defendant. Although the issue has been addressed in many opinions, the question is benighted by well-intentioned, but misguided rhetoric. Many courts have tried to address the issue fully; few have realized that the facts of the specific cases before them disguise this chimerical issue\u27s other features. Courts can only undertake a proper analysis of the due process requirements of the burden of proof in competency hearings after competency jurisprudence has been pruned of useless and confusing arguments and addressed with a full understanding of the role competence plays in the adversarial system. This Note analyzes the limitations that the due process clause places on states in allocating the burden of proof in competency hearings. Part II briefly describes the histories of the competency requirement, the standard of competence to stand trial, and the procedures used in competency decisionmaking. Part III examines in greater detail the development of the burden of proof in competency hearings and introduces the contemporary controversy over the allocation of the burden. Part III closes with a description of People v. Medina, the most recent of the burden of proof decisions, which presents well the arguments for and against a constitutional prohibition against allocating the burden of proof to the defendant. Part IV assesses the arguments against a constitutional requirement that states bear the burden of proof and attempts to free competency jurisprudence from much of the confusing rhetoric which characterizes the case law. Part V assesses the arguments for such a constitutional requirement, undertakes a due process analysis of the burden of proof, and discusses the role of social values in allocating the risk of error between litigants in the criminal justice process. Part V concludes that because of the value society places on competence, due process requires that the State bear the burden of proof in competency hearings